Вопрос:

Расположите в порядке возрастания: А) 7/13; 7/15; 11/15; 4/15; 1; 2/15; 17/15. Б) 19/8; 1; 7/8; 19/11; 5/8; 3/8; 1/8. В) 7/8; 5/2; 2 9/10; 6/13; 2 10/11; 4 1/10; 2 3/4; 4 1/2; 2 7/10; 4 5/9; 4 7/11; 12/13; 4 1/9; 1/2; 4 4/9. Г) 1 1/2; 25/57; 1 4/5; 2 1/9; 2 7/13; 2 4/9; 1 7/8; 2 7/12; 1 4/7; 2 1/2. Д) 3 1/9; 2 1/2; 41/57; 2 6/13; 2 4/5; 3 1/2; 2 4/13; 3 4/9; 2 4/7; 2 8/9.

Ответ:

Сравним дроби и смешанные числа по их значениям.

  1. А) \(\frac{2}{15}<\frac{4}{15}<\frac{7}{15}<\frac{7}{13}<\frac{11}{15}<1<\frac{17}{15}\).
  2. Б) \(\frac{1}{8}<\frac{3}{8}<\frac{5}{8}<\frac{7}{8}<1<\frac{19}{11}<\frac{19}{8}\).
  3. В) \(\frac{1}{2}<\frac{6}{13}<\frac{7}{8}<\frac{12}{13}<\frac{5}{2}<2\frac{7}{10}<2\frac{3}{4}<2\frac{9}{10}<2\frac{10}{11}<4\frac{1}{9}<4\frac{1}{10}<4\frac{4}{9}<4\frac{5}{9}<4\frac{7}{11}<4\frac{1}{2}\).
  4. Г) \(\frac{25}{57}<1\frac{4}{7}<1\frac{1}{2}<1\frac{7}{8}<1\frac{4}{5}<2\frac{1}{9}<2\frac{4}{9}<2\frac{7}{12}<2\frac{7}{13}<2\frac{1}{2}\).
  5. Д) \(\frac{41}{57}<2\frac{4}{13}<2\frac{1}{2}<2\frac{4}{7}<2\frac{6}{13}<2\frac{4}{5}<2\frac{8}{9}<3\frac{1}{9}<3\frac{4}{9}<3\frac{1}{2}\).